文献类型：期刊文献

英文题名：Stability Analysis of a Mathematical Model for Adolescent Idiopathic Scoliosis from the Perspective of Physical and Health Integration

作者：Zhang, Yuhua[1];Li, Haiyin[2]

第一作者：张义华

通讯作者：Li, HY[1]

机构：[1]Henan Univ Econ & Law, Inst Phys Educ, Zhengzhou 450046, Peoples R China;[2]Henan Univ Econ & Law, Dept Math & Informat, Zhengzhou 450046, Peoples R China

第一机构：河南财经政法大学

通讯机构：[1]corresponding author), Henan Univ Econ & Law, Dept Math & Informat, Zhengzhou 450046, Peoples R China.|[1048425]河南财经政法大学数学与信息科学学院;[10484]河南财经政法大学;

年份：2023

卷号：15

期号：8

外文期刊名：SYMMETRY-BASEL

收录：;Scopus(收录号：2-s2.0-85168881313);WOS:【SCI-EXPANDED(收录号:WOS:001057673000001)】；

基金：This research was funded by Science and Technology Project of Henan Province, grant number 232102320306; Science and Technology Project of Henan Province, grant number 222102320192; Key Research Projects of Higher Education Institutions in Henan Province, grant number 23A110005. The APC was funded by 23A110005.

语种：英文

外文关键词：adolescent idiopathic scoliosis; physical and health integration; time delay; stability; Hopf bifurcation

摘要：In this paper, we take physical and health integration as the entry point. Firstly, based on the transformation mechanism of adolescent idiopathic scoliosis we construct a time delay differential model. Moreover, using the theory of characteristic equation we discuss the stability of a positive equilibrium under the delays of t = 0 and t ? 0. Furthermore, through numerical simulation, it has been verified the delay, t, exceeds a critical value, the positive equilibrium loses its stability and Hopf bifurcation occurs. Lastly, we determine that sports have a positive effect on adolescent idiopathic scoliosis, directly reducing the number of people with adolescent idiopathic scoliosis.